Estimating frequencies of frequencies in finite populations

Chris J. Skinner and N. Shlomo

LSE Research Online Documents on Economics from London School of Economics and Political Science, LSE Library

Abstract: Given a sample from a finite population partitioned into classes, we consider estimating the distribution of the class frequencies. We propose first to estimate certain moments of this distribution, assuming Poisson sampling with unequal inclusion probabilities, and then to adapt these estimates using modelling assumptions. A simulation study illustrates the bias-robustness of the approach to departures from these assumptions.

Keywords: negative binomial; poisson sampling; survey sampling (search for similar items in EconPapers)
JEL-codes: C1 (search for similar items in EconPapers)
Date: 2012-12
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Published in Statistics and Probability Letters, December, 2012, 82(12), pp. 2206-2212. ISSN: 0167-7152

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